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Finding the Fourth Proportional to 493,774.90, 681,451.32 and 278,954.40

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Solution

The fourth proportional to 493,774.90, 681,451.32 and 278,954.40 is: 384,980.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,774.90 : 681,451.32 = 278,954.40 : x
  2. Step 2: Convert to fraction form
    493,774.90/681,451.32 = 278,954.40/x
  3. Step 3: Cross multiply
    493,774.90x = 681,451.32 × 278,954.40
  4. Step 4: Simplify right side
    493,774.90x = 190,093,844,099.81
  5. Step 5: Solve for x
    x = 190,093,844,099.81/493,774.90
  6. Step 6: Final answer
    x = 384,980.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.